Failure of Krull-Schmidt for invertible lattices over a discrete valuation ring-Reference-Cited by-同舟云学术

Failure of Krull-Schmidt for invertible lattices over a discrete valuation ring

Published:2005-12-19 Issue:7 Volume:134 Page:1869-1873
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Beneish Esther

Abstract

Let p p be a prime greater than 3 3 , and let N N be the semi-direct product of a group H H of order p p by a cyclic C C group of order p − 1 p-1 , which acts faithfully on H H . Let R R be the localization of Z Z at p p . We show that the Krull-Schmidt Theorem fails for the category of invertible R N RN -lattices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-07/S0002-9939-05-08194-3/S0002-9939-05-08194-3.pdf

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